Forced waves for a three-species predator-prey system with nonlocal dispersal in a shifting environment

Article Mathematics, Applied

Forced waves of a three species predator-prey system in a shifting environment

Wonhyung Choi et al.

Summary: This paper discusses the existence and non-existence of forced waves in a shifting environment for a three species predator-prey system. The paper also analyzes the types of forced waves and the minimal shifting speed for each type.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2022)

添加到收藏夹

Article Mathematics, Applied

Traveling wave solutions for a three-species predator-prey model with two aborigine preys

Yu-Shuo Chen et al.

Summary: This paper investigates the invading phenomenon of an alien predator to the habitat of two aborigine preys through traveling waves connecting the predator-free state to the co-existence state. The minimal wave speed of this invading process is characterized using Schauder's fixed point theorem and upper-lower-solutions. New forms of upper-lower-solutions are constructed to demonstrate the existence of traveling waves for all admissible speeds.

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS (2021)

添加到收藏夹

Article Mathematics, Applied

Propagation dynamics of a reaction-diffusion equation in a time-periodic shifting environment

Jian Fang et al.

Summary: This paper discusses the existence and attractivity of solutions of a class of time periodic non-linear reaction-diffusion equations, where the nonlinearity approaches KPP type as it moves away from the origin. The propagation dynamics of the solutions depend on the magnitude of the shifting speed, with different behaviors in different directions.

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2021)

添加到收藏夹

Article Mathematics

Persistence of species in a predator-prey system with climate change and either nonlocal or local dispersal

Wonhyung Choi et al.

Summary: The study focuses on the impact of climate change on the persistence of both predator and prey in a diffusive predator-prey system, considering both nonlocal and local dispersal cases. Forced waves are shown to exist, and the survival of species crucially depends on the comparison between climate change speed and the minimal speed of some pulse type forced waves in different moving frames.

JOURNAL OF DIFFERENTIAL EQUATIONS (2021)

添加到收藏夹

Article Mathematics, Applied

On the stable tail limit of traveling wave for a predator-prey system with nonlocal dispersal

Chin-Chin Wu

Summary: This paper investigates traveling waves in a predator-prey system with nonlocal dispersal. It provides a proof for the open question of convergence left unanswered in previous research.

APPLIED MATHEMATICS LETTERS (2021)

添加到收藏夹

Article Mathematics

Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat

Fang-Di Dong et al.

Summary: The study establishes the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It shows the presence of a critical speed under certain conditions, leading to the emergence of forced traveling waves.

JOURNAL OF DIFFERENTIAL EQUATIONS (2021)

添加到收藏夹

Article Mathematics, Applied

Asymptotic spreading speeds for a predator-prey system with two predators and one prey

Arnaud Ducrot et al.

Summary: This paper investigates the large time behaviour of a three species reaction-diffusion system, modeling the spatial invasion of two predators feeding on a single prey species. The mutations and coupling between predators affect the speed and pattern of invasion.

NONLINEARITY (2021)

添加到收藏夹

Article Mathematics

Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys

Yu-Shuo Chen et al.

Summary: This study investigates traveling wave solutions of a three-species system involving a predator and competing preys, demonstrating how predation affects the dynamics. The results show various scenarios where one prey species invades, replaces, or coexists with the others. Additionally, it is found that under certain parameters, the weaker prey can invade environments initially occupied by stronger competitors. The study also determines the infimum of admissible wave speeds, particularly when all three species diffuse at the same rate.

JOURNAL OF DIFFERENTIAL EQUATIONS (2021)

添加到收藏夹

Article Mathematics, Applied

Forced waves and gap formations for a Lotka-Volterra competition model with nonlocal dispersal and shifting habitats

Jia-Bing Wang et al.

Summary: This paper investigates forced waves and gap formations for a Lotka-Volterra competition model with nonlocal dispersal and shifting habitats. Through iterative techniques, the existence of forced waves is shown, and asymptotic behaviors at infinity are obtained through delicate analysis. The presence of gap formations is proven through comparison arguments for certain ranges of forcing speeds.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2021)

添加到收藏夹

Article Mathematics

Traveling Wave Solutions for some Three-Species Predator-Prey Systems

Jong-Shenq Guo

Summary: This paper presents recent developments in utilizing Schauder's fixed point theorem to study the existence of traveling waves in three-species predator-prey systems, focusing on deriving the convergence of stale tail of wave profiles.

TAMKANG JOURNAL OF MATHEMATICS (2021)

添加到收藏夹

Article Mathematics